A number derivative is a function that satisfies the Product Rule. In this paper, we find all solutions to the equation f (x)=x, where f is a number derivative on the ring of integers modulo an integer n. Thinking of number derivatives as analogues of the ordinary derivative from Calculus, we can think of this equation as a "differential equation" of sorts; solutions to it will then be rough analogues of exponential functions.
Mike Krebs, Department of Mathematics, California State University, Los Angeles firstname.lastname@example.org
"Fixed Points of Number Derivatives Modulo n,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 10
, Article 1.
Available at: http://scholar.rose-hulman.edu/rhumj/vol10/iss1/1